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The Pricing of Credit Derivatives and Estimation of Default Probability

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DOI: 10.4236/jmf.2015.53022    2,442 Downloads   2,980 Views  

ABSTRACT

Under the native-born model of default and the circular model of default, we take the price of credit derivatives into account. It’s supposed that the short-term market interest rates are based on Vasicek model in this article. Firstly, we calculate the price of default-free bonds in zero-coupon bond. Then, we give the default-intensity expressions under the two models. We calculate the prices of default-free bonds under the two default models. For different situations, we estimate the parameters by maximum likelihood estimation method and calculate the default probability of the company. From the analysis of the result, we find that the result conforms to reality. So the models of default intensity we suppose in the bond pricing are reasonable.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Zhou, H. and Zhao, D. (2015) The Pricing of Credit Derivatives and Estimation of Default Probability. Journal of Mathematical Finance, 5, 243-248. doi: 10.4236/jmf.2015.53022.

References

[1] Brennan, M.J. and Schwartz, E.S. (1980) Analyzing Convertible Bonds. Journal of Financial and Quantitative Analysis, 15, 907-929.
http://dx.doi.org/10.2307/2330567
[2] Jarrow, R.A. and Turnbull, S.M. (1995) Pricing Derivatives on Financial Securities Subject to Credit risk. Journal of Finance, 50, 53-85.
http://dx.doi.org/10.1111/j.1540-6261.1995.tb05167.x
[3] Merton, R.C. (1974) On the Pricing of Corporate Debt: The Risk Structure of Interest Rates. Journal of Finance, 29, 449-470.
[4] Black, F. and Schloes, M. (1973) The Pricing of Options and Corporate Liabilities. Journal of Political Economy, 81, 637-654.
http://dx.doi.org/10.1086/260062
[5] Vasicek, O. (1977) An Equilibrium Characterization of the Term Structure. Journal of Financial Economics, 5, 177-188.
http://dx.doi.org/10.1016/0304-405X(77)90016-2
[6] Bai, Y.-F. (2008) Credit Risk Contagion and the Pricing of Credit Derivatives. Shanghai Jiao Tong University, Shanghai.
[7] Jarrow, R.A., Lando, D. and Yu, F. (2005) Default Risk and Diversification: Theory and Empirical Implications. Mathematical Finance, 15, 1-26.
http://dx.doi.org/10.1111/j.0960-1627.2005.00208.x
[8] Bai, Y.F., Hu, X.H. and Ye, Z.X. (2007) A Model for Dependent Default with Hyperbolic Attention Effect and Valuation of Credit Default Swap. Applied Mathematics and Mechanics, 28, 1643-1649.
http://dx.doi.org/10.1007/s10483-007-1211-9
[9] Shreve, S.E. (2004) Stochastic Calculus for Finance I: The Binomial Asset Pricing Model. Springer, New York.
[10] Duffie, D., Saita, L. and Wang, K. (2007) Multi-Period Corporate Default Prediction with Stochastic Covariates. Journal of Financial Economics, 83, 635-665.
http://dx.doi.org/10.1016/j.jfineco.2005.10.011

  
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